312141131120000 has 1280 divisors, whose sum is σ = 1013513624323200. Its totient is φ = 93052108800000.

The previous prime is 312141131119963. The next prime is 312141131120059. The reversal of 312141131120000 is 21131141213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8655901970 + ... + 8655938030.

Almost surely, 2^{312141131120000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312141131120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506756812161600).

312141131120000 is an abundant number, since it is smaller than the sum of its proper divisors (701372493203200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312141131120000 is a wasteful number, since it uses less digits than its factorization.

312141131120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36185 (or 36158 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 312141131120000 its reverse (21131141213), we get a palindrome (312162262261213).

The spelling of 312141131120000 in words is "three hundred twelve trillion, one hundred forty-one billion, one hundred thirty-one million, one hundred twenty thousand".